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The general solution of sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is (1989 - 2 Marks)
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The general solution of sin x – 3 sin 2x + sin 3x = cos x &ndash...
The given equation is sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x
⇒ 2 sin 2x cos x – 3 sin 2x = 2 cos 2x cos x – 3 cos 2x
⇒ sin 2x (2 cos x – 3) = cos 2x (2 cos x – 3)
⇒ sin 2x = cos 2x (as cos x ≠ 3/2)
⇒ tan 2x = 1 ⇒ 2x = nπ + π/4 ⇒
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The general solution of sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is (1989 - 2 Marks)a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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